ar X iv : h ep - p h / 03 11 13 9 v 1 11 N ov 2 00 3 Nonlocal effects in high energy charged particle beams

نویسندگان

  • Mattias Marklund
  • Renato Fedele
  • Arkadi Kim
چکیده

Within the framework of the thermal wave model, an investigation is made of the longitudinal dynamics of high energy charged particle beams. The model includes the self-consistent interaction between the beam and its surroundings in terms of a nonlinear coupling impedance, and when resistive as well as reactive parts are included, the evolution equation becomes a generalised nonlinear Schrödinger equation including a nonlocal nonlinear term. The consequences of the resistive part on the propagation of particle bunches are examined using analytical as well as numerical methods.

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تاریخ انتشار 2005